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What is the Least Common Multiple of 16423 and 16440?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16423 and 16440 is 269994120.

LCM(16423,16440) = 269994120

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Least Common Multiple of 16423 and 16440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16423 and 16440, than apply into the LCM equation.

GCF(16423,16440) = 1
LCM(16423,16440) = ( 16423 × 16440) / 1
LCM(16423,16440) = 269994120 / 1
LCM(16423,16440) = 269994120

Least Common Multiple (LCM) of 16423 and 16440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16423 and 16440. First we will calculate the prime factors of 16423 and 16440.

Prime Factorization of 16423

Prime factors of 16423 are 11, 1493. Prime factorization of 16423 in exponential form is:

16423 = 111 × 14931

Prime Factorization of 16440

Prime factors of 16440 are 2, 3, 5, 137. Prime factorization of 16440 in exponential form is:

16440 = 23 × 31 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 16423 and 16440.

LCM(16423,16440) = 111 × 14931 × 23 × 31 × 51 × 1371
LCM(16423,16440) = 269994120